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Method
Equation f(x)
Initial Guess x₀
Convergence
Initialize: x₀ = 1.000000
f(x₀) = −1.0000e+0, f′(x₀) = 2.0000e+0
Iter 1: x₁ = 1.50000000
Error: |x₁ − x₀| = 5.0000e−1
Iter 2: x₂ = 1.41666667
Error: |x₂ − x₁| = 8.3333e−2
Iter 3: x₃ = 1.41421356
Error: |x₃ − x₂| = 2.4510e−3
Iter 4: x₄ = 1.41421356
Error: |x₄ − x₃| = 1.5943e−12
✓ Converged in 4 iterations
Root ≈ 1.41421356 (√2 exact)
Notice: digits double each step — that's quadratic convergence
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| Feature | NumericaLTI | MyLab Math | MATLAB Grader |
|---|---|---|---|
| Visual step-by-step convergence | |||
| Free student tier | |||
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| Works without textbook purchase | |||
| Open to any institution | |||
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